Back to . . .  Curve Bank Home NCB Deposit #47 Limits: A Basic Calculus Skill Three Exercises for Pre-Calculus and Calculus Students Curve Reading Practice The sky is the limit.

Exercise One
Study the curve for a few moments and then answer the questions about each of the following:

 Using the graph of  f  as shown on the left, estimate: 1.    The value of  is  Choose One 0 +1 -1 +2 -2 3 Does not exist. Positive infinity Negative infinity 2.    The value of  is  Choose One 0 +1 -1 +2 -2 3 Does not exist. Positive infinity Negative infinity 3.    The value of  is  Choose One 0 +1 -1 +2 -2 3 Does not exist. Positive infinity Negative infinity 4.    The value of  is  Choose One 0 +1 -1 +2 -2 3 Does not exist. Positive infinity Negative infinity

Exercise Two

 Using the graph of f as shown on the left, estimate: 1.    The value of    Choose One 0 +1 -1 +2 -2 3 Does not exist. Positive infinity Negative infinity 2.    The value of    Choose One 0 +1 -1 +2 -2 3 Does not exist. Positive infinity Negative infinity 3.    The value of    Choose One 0 +1 -1 +2 -2 3 Does not exist. Positive infinity Negative infinity 4.    The value of    Choose One 0 +1 -1 +2 -2 3 Does not exist. Positive infinity Negative infinity 5.    The value of    Choose One 0 +1 -1 +2 -2 3 Does not exist. Positive infinity Negative infinity

Exercise Three

 Using the graph of  f  as shown on the left. 1.    The value of  f(0) is    Choose One 0 +1 +2 +3 - 3 4 6 10 2.    The value of  f(-3) is  Choose One 0 +1 -1 +2 -2 3 Does not exist. 3.    The value of  f(-6) is  Choose One 0 +1 -1 +2 -2 3 -3 4.    There are how many "zeros"?  Choose One 0 +1 -1 +2 -2 3 4 5.    What is the maximum value of  f ? Choose One 0 2 4 8 10 11 6.    How many times does a line  y = 1/2           intersect the graph?            Choose One 0 +1 2 3 4 5 7.    How many times does a line  y = 3        intersect the graph?            Choose One 0 1 2 3 4 5 8.    What is the domain of  f ?   Choose One -6 < x < 11 -6 <= x <= 11 -3 < y < 4 -3 <= y <= 4 9.    Choose an interval when the function        is decreasing.      Choose One (-6,2) (2,8) (8,11)

 A Great Link for Limits Practice: Finding limits algebraically: http://www.math.ucdavis.edu/~kouba/CalcOneDIRECTORY/limconsoldirectory/LimConSol.html

 If all 18 questions are answered, a score will appear in a pop-down window. The NCB thanks . . . .